Flux-corrected pseudospectral method for scalar hyperbolic conservation laws

DOI10.1016/0021-9991(89)90056-9zbMath0675.65118OpenAlexW2104377272MaRDI QIDQ1122344

S. H. Smith

Publication date: 1989

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90056-9

zbMATH Keywords

conservation lawslinear advectionflux limiterflux-corrected pseudospectral methodshock formation/propagation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

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Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• High-order upwind flux correction methods for hyperbolic conservation laws
• Group Velocity in Finite Difference Schemes
• A Simplified Galerkin Method for Hyperbolic Equations
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations
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